Analytical Formula of Induced Electric Fields in a Spherical Conductor by an ELF Dipole Magnetic Field Source

• Kitano Mitsuhiro

  Kyoto University

• Hamada Shoji

  Kyoto University

• Kobayashi Tetsuo

  Kyoto University

Bibliographic Information

Other Title

• 低周波ダイポール磁界印加時の導体球内誘導電界の解析式
• テイシュウハ ダイポール ジカイ インカジ ノ ドウタイキュウナイ ユウドウ デンカイ ノ カイセキシキ

Abstract

An analytical formula of induced electric field E in a spherical conductor by an ELF dipole magnetic field source M = M_// + M_⊥ is mathematically derived in vector form based on the equivalent multipole moment method with re-expansion technique (RE-EMMM), where M_// and M_⊥ are parallel and perpendicular components of M, respectively. The validity of the formula is confirmed by the following three ways. (i)The derivation of the formula from the Sarvas equation with the reciprocity theorem derived by Eaton. (ii)The convergence of the formula to that of homogeneous magnetic field when M_// is located at the infinite distance. (iii)Comparison of the analytical solutions with numerical solutions by RE-EMMM. Furthermore, an formula for the trajectory, which satisfies E = 0, is derived for the field by M_//.

Journal

• IEEJ Transactions on Fundamentals and Materials

  IEEJ Transactions on Fundamentals and Materials 127 (6), 346-354, 2007

  The Institute of Electrical Engineers of Japan

Keywords

• ELF magnetic field
• induced electric field
• magnetic dipole
• analytical formula
• spherical conductor

Details

• CRID: 1390001204594690688
• NII Article ID: 130000085341
• NII Book ID: AN10136312
• DOI: 10.1541/ieejfms.127.346
• ISSN: 13475533
• ISSN: 03854205
• NDL BIB ID: 8842214
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8842214
• Web Site: https://www.jstage.jst.go.jp/article/ieejfms/127/6/127_6_346/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed